Subjective Type

Write the following statement in the form of algebraic expressions and write whether it is monomial, binomial or trinomial. Sum of products of $$a$$ and $$b$$, $$b$$ and $$c$$ and $$c$$ and $$a$$.

Solution

$$\bullet$$ product of a and b is ab
$$\bullet$$ product of b and c is bc
$$\bullet$$ product of c and a is ca
$$\bullet$$ So, Sum of the products of a and b, b and c and c and a is $$ab+bc+ca$$ which has three unlike terms.
Therefore, the expression $$ab+bc+ca$$ is a trinomial.
$$\textbf{Hence, the required expression is ab+bc+ca and is a trinomial.}$$

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